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Finding the Fourth Proportional to 2,934.71, 4,049.89 and 1,756.06

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Solution

The fourth proportional to 2,934.71, 4,049.89 and 1,756.06 is: 2,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.71 : 4,049.89 = 1,756.06 : x
  2. Step 2: Convert to fraction form
    2,934.71/4,049.89 = 1,756.06/x
  3. Step 3: Cross multiply
    2,934.71x = 4,049.89 × 1,756.06
  4. Step 4: Simplify right side
    2,934.71x = 7,111,835.32
  5. Step 5: Solve for x
    x = 7,111,835.32/2,934.71
  6. Step 6: Final answer
    x = 2,423.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.